ensemble interpretation

E323046

The ensemble interpretation is a realist view of quantum mechanics that treats the wavefunction as describing statistical properties of large ensembles of similarly prepared systems rather than the state of an individual particle.

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ensemble interpretation canonical 1

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Predicate Object
instanceOf interpretation of quantum mechanics
realist interpretation of quantum mechanics
accepts Born rule as a statistical law for ensembles
violations of Bell inequalities as constraints on local hidden-variable models of ensembles
addresses measurement problem in quantum mechanics as an apparent problem of single-system language
aimsTo preserve classical logic for statements about individual systems by restricting quantum statements to ensembles
alternativeName statistical interpretation
appliesTo repeated experiments on similarly prepared quantum systems
associatedWith Leslie E. Ballentine
claims quantum probabilities are objective frequencies in ensembles
compatibleWith Copenhagen interpretation on empirical predictions
denies intrinsic indeterminism for individual systems at the level of the wavefunction
necessity of hidden particle trajectories as in Bohmian mechanics
necessity of many worlds to explain quantum statistics
wavefunction as complete description of an individual system
describes statistical properties of ensembles of similarly prepared quantum systems
differsFrom pilot-wave theory
surface form: Bohmian mechanics

Copenhagen interpretation on meaning of the wavefunction
many-worlds interpretation
objective collapse theories
emphasizes measurement as selection of subensembles
preparation procedures of quantum systems
focusesOn frequentist interpretation of quantum probabilities
holdsThat mixed states and pure states both have ensemble interpretations
superposition describes ensemble statistics rather than physical coexistence of properties in a single system
influenced later realist and statistical approaches to quantum theory
influencedBy Albert Einstein
interprets entangled states as correlations within ensembles
isCompatibleWith standard quantum formalism
isConsidered minimal realist interpretation of quantum mechanics
isCriticizedFor ambiguity about ontology of individual systems
not providing a detailed account of single measurement outcomes
isDiscussedIn Leslie E. Ballentine’s book "Quantum Mechanics: A Modern Development"
isNeutralOn underlying ontology of individual particles beyond ensemble statistics
maintains quantum theory is fundamentally a theory of ensembles, not individuals
regards wavefunction as a mathematical tool for computing ensemble statistics
rejects wavefunction as a physical field in configuration space
wavefunction collapse as a physical process for single systems
respondsTo Einstein–Podolsky–Rosen paradox
surface form: Einstein–Podolsky–Rosen (EPR) argument
treats wavefunction as describing an ensemble
views observables as statistical properties of ensembles
wasDevelopedIn 20th century

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